1. Given that ABCD is a rhombus with ∠DBC=49∘, what is ∠DAB?
A. 82 degrees
B. 90 degrees
C. 49 degrees
D. 98 degrees

2. In a rhombus FGHJ, m∠JKF=(3y+6)∘ and m∠KFG =(7y−14)∘. Find the value of y?
A. 20
B. 10
C. 8
D. 5

The quadratic is continuous over its entire domain, which is to say we can evaluate the limit by direct substitution:

\(\displaystyle \lim_{x\to-3} (x^2 - 2x + 4) = (-3)^2 - 2(-3) + 4 = 9 + 6 + 4 = \boxed{19}\)

You are mistaking (-3)² for -3². They are not the same number.

(-3)² = (-1 × 3)² = (-1)² × 3² = 1 × 9 = 9

-3² = -1 × 3² = -1 × 9 = -9

Area of the square is x² +2x + 1  

An object's area is how much space it takes up in two dimensions. In other terms, it's the measurement of the number of unit squares that completely round the surface of a closed shape.

Here we have

A rectangular piece of paper has an area of 4x² +3x+2.  

A square is cut from the rectangle and the remainder of the rectangle is discarded

The area of the discarded paper is 3x² + x + 1

Let 'a' be the area of the square  

Given that area of the square is cut off from the rectangle

=> 4x² +3x+2 - a = 3x² + x + 1  

=> a = 4x² +3x+2 - (3x² + x + 1)

=> a = 4x² +3x+2 - 3x² - x - 1

=> a = x² +2x + 1  

Therefore,

Area of the square = x² +2x + 1  

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Answer: A)  81

B)  16807

C)  100

D)  78125

Step-by-step explanation:

A) = 3^4 or 81

B) = 7^5 or 16807

c)  = 10^2 or 100

D) = 5^7 or 78125

The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

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Answer :Exponential growth occurs when the base of an exponential function (b) is greater than 1 and the exponent (t) is positive.

Explanation :An exponential function is a mathematical function of the form y = Cbt, where b > 0 and b ≠ 1. When b > 1, the function is said to model exponential growth, while when 0 < b < 1, the function models exponential decay. Thus, exponential growth occurs when the base of an exponential function (b) is greater than 1 and the exponent (t) is positive. When b is any positive number, it may not necessarily result in exponential growth as it may lead to exponential decay or constant value as well.

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Answer:

Given data:

Arrange the numbers in the ascending order:

Identify the minimum and the maximum values:

Identify the median of the data set.

Since the number of data is even, the median is the average of the middle two numbers:

Identify the medians of the lower and upper regions.

For the lower region, the median- the first quartile is 14, for the upper region, the median - the third quartile is 83

We have all required numbers:

Attached is the example of the plot, this may be horizontal or vertical

The maximum amount of mushrooms Alberto can eat in a day is 4 kg.

Alberto can eat at most 4 kg of mushrooms in a day. If he picks 4 kg of mushrooms himself, he will not gain any monetary profit, and if he picks oranges, the monetary gain will be less than picking mushrooms.

He can sell mushrooms in the market for 514.79 per kg, whereas he can sell oranges for 38.7 per kg. It is evident that he will gain a lot of monetary profit by selling mushrooms rather than oranges.

Alberto can buy mushrooms from the market and sell them for a higher price. But it does not mean that he can eat more mushrooms. Alberto can consume a maximum of 4 kg of mushrooms whether he picks them himself or buys them from the market.

Therefore, the maximum amount of mushrooms Alberto can eat in a day is 4 kg.
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Answer:     C. Use a larger sample size   and   D. Larger confidence level

Step-by-step explanation:       The information will be more accurate, as it is not right now and if there are more people then there will be a huge group of people that agree on one thing.

True: The degree of the sum of two polynomials is at least as large as the degree of each of the two polynomials.

When adding two polynomials, the degree of the resulting polynomial will be determined by the highest degree term in either polynomial. Consider two polynomials: P(x) of degree n and Q(x) of degree m. Let's assume n ≥ m. The highest degree term in P(x) will be of the form ax^n, and the highest degree term in Q(x) will be of the form bx^m. When we add these two terms together, the resulting term will be ax^n + bx^m. Since n ≥ m, the degree of this term is n.

The other terms in the polynomials may have lower degrees, but the highest degree term, which determines the overall degree of the sum, is n. Therefore, the degree of the sum of the two polynomials is at least as large as the degree of each of the two polynomials. (b) False: The degree of the product of two polynomials is not necessarily equal to the sum of the degrees of the two polynomials. When multiplying two polynomials, the degree of the resulting polynomial is determined by the highest degree term obtained by multiplying the highest degree terms of the two polynomials. Consider two polynomials: P(x) of degree n and Q(x) of degree m.

The highest degree term in P(x) will be of the form ax^n, and the highest degree term in Q(x) will be of the form bx^m. When we multiply these two terms together, the resulting term will be abx^(n+m). The degree of this term is (n+m), which means the degree of the product is not equal to the sum of the degrees of the two polynomials. It's important to note that in certain cases, such as when multiplying polynomials of degree 1, the degree of the product can be equal to the sum of the degrees. However, in general, the degree of the product of two polynomials is not necessarily equal to the sum of the degrees.

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Answer:

here go to quizlet it has the aswer for you

Step-by-step explanation:

Answer:

x=40

Step-by-step explanation:

2x+7+x-10+63=180

3x=120

x=40

Answer: 2716

Step-by-step explanation:

24pecent (700)=168

168 *12=2016

700+2016=2716

Explanation:

The green and red angles are alternate exterior angles. They alternate on either side of the transversal line. They are exterior because they are outside the parallel lines (think of the interior region as a river and the exterior regions as the shorelines).

Recall that alternate exterior angles are congruent when we have parallel lines. This is similar to how alternate interior angles are congruent due to parallel lines.

Since the angles shown are congruent, this must mean angle 2 is also 130 degrees.

Answer: be a good communicator with strong leadership skills who quickly builds trust with the ability to talk and communicate with her hitters.

encourages hitters when they are playing well and when they aren't playing well.

(I used to play volleyball myself)

Answer:

\(y = 2 \sqrt{6} \)

Step-by-step explanation:

\( \frac{y}{ \sin(60) } = \frac{4 \sqrt{2} }{ \sin(90) } \\ \frac{y}{ \frac{1}{2} \sqrt{3} } = \frac{4 \sqrt{2} }{1} \\ y = 4 \sqrt{2} \times \frac{1}{2} \sqrt{3} \\ y = 2 \sqrt{6}\)

Answer:

4 adults

Step-by-step explanation:

There will be 3 people handling eight children each and one person handling 6 children in a total of 30 children

Answer:

yes

Step-by-step explanation:

all numbers which end with an even number are divisible by 2 like this number ends with 4 which is an even number so it is divisible by 2

b. misspecification of the model. the problem of ignoring the potential nonlinear relationship between Y and X in a multiple linear regression model is the misspecification of the model, leading to biased parameter estimates and inaccurate conclusions.

Ignoring the potential nonlinear relationship between the dependent variable Y and one or more independent variables X in a multiple linear regression model leads to the problem of misspecification of the model.

Multiple linear regression assumes a linear relationship between the dependent variable and the independent variables. However, in reality, the relationship between the variables can be nonlinear. When this nonlinear relationship is not accounted for in the model and instead assumed to be linear, it results in misspecification of the model. Misspecification refers to the situation where the chosen functional form of the model does not accurately represent the true relationship between the variables.

By ignoring the potential nonlinear relationship, the model fails to capture the true nature of the data and may produce biased parameter estimates and incorrect conclusions. The misspecified model may exhibit poor fit, residual patterns, and unreliable predictions.

To address this problem, it is important to carefully analyze the data and consider the possibility of nonlinear relationships. Various techniques can be used to incorporate nonlinearities in regression models, such as adding polynomial terms, using transformation functions, or employing nonlinear regression models.

Let's briefly discuss the other options:

a. Multicollinearity: Multicollinearity refers to a situation where there is a high correlation between two or more independent variables in a regression model. It can cause problems in interpreting the individual effects of the correlated variables but is not directly related to ignoring the nonlinear relationship.

c. Perfect collinearity: Perfect collinearity occurs when there is an exact linear relationship between the independent variables, making it impossible to estimate the model. It is a severe form of multicollinearity and is not specifically related to ignoring the nonlinear relationship.

d. Homoskedasticity: Homoskedasticity refers to the assumption that the variance of the error term is constant across all levels of the independent variables. It is a requirement for the ordinary least squares (OLS) estimator to be efficient. While ignoring the nonlinear relationship could potentially affect the assumption of homoskedasticity, it is not the direct problem caused by ignoring the nonlinear relationship.

In summary, the problem of ignoring the potential nonlinear relationship between Y and X in a multiple linear regression model is the misspecification of the model, leading to biased parameter estimates and inaccurate conclusions.

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The area of the plot of land, expressed in terms of the width (x) in standard form, is (x)(x+2).

Let's consider the width of the plot of land as x meters. According to the given information, the length of the plot is 2 more than the width. Therefore, the length can be expressed as (x + 2) meters.

To calculate the area of a rectangular plot of land, we multiply the length by the width. In this case, the area can be calculated as (x)(x + 2).

Expanding the expression, we have:

Area = x(x + 2)

        = \(x^2 + 2x\)

Thus, the area of the land is given by the quadratic expression \(x^2 + 2x\), which represents the area in terms of the width (x) in standard form.

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Answer:

the 7 one

Step-by-step explanation:

(a) The total expected payoffs for Tech when going for one point are (0.98)($7.2 million) + (0.02)(-$1.7 million) = $7,014,000 (0.02)(0.20)($7.2 million) + (0.02)(0.80)(-$1.7 million) = -$108,000 Therefore, based on the expected payoffs, Tech should go for one point.

(b)  Tech’s probability of winning the game in overtime should be 76.82% to make Tech indifferent to going for either 1 or 2 points.

Decision tree analysis is a graph with different decision options and their potential consequences. Tech can go for two points or one point, and if one point is successful, it will go over time. The decision tree analysis is as follows: The following probabilities and outcomes will be used for decision tree analysis if Tech goes for two points: Probability of winning = 0.33 The payoff for a win is $7.2 million The payoff for a loss is -$1.7 million The probability of losing is 0.67 The payoff for a win is -$1.7 million The payoff for a loss is -$1.7 million If Tech goes for one point, the following probabilities and outcomes will be used: Probability of winning = 0.98 The payoff for a win is $7.2 million The payoff for a loss is -$1.7 million The probability of losing is 0.02 The payoff for a win is -$1.7 million The payoff for a loss is -$1.7 million If it goes for one point and loses, it will have a 20% chance of winning in overtime. Therefore, the probability of going for one point and winning is 0.98, while the probability of going for one point and losing is 0.02. If Tech goes for one point and goes to overtime, the probability of winning in overtime is 0.20. The total expected payoffs for Tech when going for two points are: (0.33)($7.2 million) + (0.67)(-$1.7 million) = $1,386,000 The total expected payoffs for Tech when going for one point are: (0.98)($7.2 million) + (0.02)(-$1.7 million) = $7,014,000 (0.02)(0.20)($7.2 million) + (0.02)(0.80)(-$1.7 million) = -$108,000 Therefore, based on the expected payoffs, Tech should go for one point.

(b) Let P be the probability that Tech will go for one point, and 1 – P be the probability that Tech will go for two points. Then, the overall probability of Tech winning the game is given by: P(Tech wins) = P(Tech wins, goes for one point) + P(Tech wins, goes for two points)Let A denote the event that Tech goes for one point and wins, B denote the event that Tech goes for two points and wins, and C denotes the event that Tech goes for two points and loses. Then we have: P(Tech wins) = P(A) + P(B) = 0.98P + 0.33(1 – P)If Tech goes for one point, there is a 0.98 probability of winning, and if Tech goes for two points, there is a 0.33 probability of winning. Let D denote the event that the game goes into overtime. Then: P(A) = P(Tech wins | A)P(A) = 0.98P(1 – 0.2)P(B) = P(Tech wins | B)P(B) = 0.33P(C) = P(Tech loses | C)P(C) = 0.67(1 – P)Hence: P(Tech wins) = P(A) + P(B) = 0.98P + 0.33(1 – P)If Tech is indifferent between going for one point and going for two points, it follows that the payouts for the Sugar Bowl and the Gator Bowl must be equalized. We have: P(Tech wins) = P(Tech wins, goes for one point) + P(Tech wins, goes for two points) = $7.2 million x P(A) + $7.2 million x P(B) + $1.7 million x P(C)Now we can solve for P as follows:0.98P + 0.33(1 – P) = $7.2 million x P(A) + $7.2 million x P(B) + $1.7 million x P(C)0.98P + 0.33 – 0.33P = $7.2 million x 0.98P + $7.2 million x 0.33P + $1.7 million x 0.67(1 – P)0.65P = $7.2 million x 0.98P + $7.2 million x 0.33P + $1.139 million – $1.139 P0.481P = $7.2 million x 0.98P + $7.2 million x 0.33P + $1.139 millionP = $1.139 million/$1.4815 millionP = 0.7682, or 76.82%Therefore, Tech’s probability of winning the game in overtime should be 76.82% to make Tech indifferent to going for either 1 or 2 points.

Answer:

3x + 2

{8, 11, 14}

Step-by-step explanation:

given that a function has a domain {2,3,4}, this means that the x-values of the function can only be the 2, 3 and 4.

knowing this, the first pulldown box gives a choice of two different functions

choice A : f(x) = 3x + 2

choice B : f(x) = x + 1

Simply substituting the domain (i.e the values 2, 3 and 4) into these functions determine the range as follows:

For choice A:

f(x) = 3x + 2, for domain {2,3,4)

f(2) = 3(2) + 2 = 8

f(3) = 3(3) + 2 = 11

f(4) = 3(4) + 2 = 14

Right away we can see that the range is {8, 11, 14} which is one of the choices in the second pull down box. We suspect that this is the correct answer, but let's have a look at Choice B for a sanity check.

For Choice B:

f(x) = x + 1, for domain {2,3,4)

f(2) = 2 + 1 = 3

f(3) = 3 + 1 = 4

f(4) = 4 + 1 = 5

We can see that choice B gives a range of {3,4,5}, which is neither of the choices in the pull down box. Hence we can surmise that this is not the answer and choice A is the correct answer

The relationship between the number of weeks, w, and the number of dollars, d, James saves can be modeled using a linear equation. Specifically, the equation that represents this relationship is d = 12w. The line that can be used to model the relationship between the number of weeks, w, and the number of dollars, d, James saves is: d = 12w

This is a linear equation in the form of y = mx, where d represents the dependent variable (number of dollars) and w represents the independent variable (number of weeks). The coefficient 12 represents the rate at which James saves, which is $12 per week. The equation states that the number of dollars saved is equal to 12 times the number of weeks.

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The derivative function for equations 1 and 2 will be

y' = -1/ [2√(1-x²)] and y' = 3/[2(1 + x²)] respectively

Here we need to find the derivative of

\(y = tan^{-1}\sqrt{\frac{1-x}{1+x} }\)

Let x = cos2z

Hence we get

\(y = tan^{-1}\sqrt{\frac{1-cos2z}{1+cos2z} }\)

\(or, y = tan^{-1}\sqrt{\frac{2sin^{2}z}{2cos^{2}z} }\)

\(or, y = tan^{-1}(tanz)\)

or, y = z

Hence dy/dx = dz/dx

We know that

x = cos2z

or, 2z = cos⁻¹x

or, 2 dz/dx = -1/√(1-x²)

Hence dy/dx = -1/ [2√(1-x²)]

The second equation is

\(y = 3tan^{-1}[x-\sqrt{1+x^{2}} ]\)

Let x = cotz

Hence we get

\(y = 3tan^{-1}[cotz-\sqrt{1+cot^{2}z} ]\)

\(y = 3tan^{-1}[cotz-\sqrt{cosec^{2}z} ]\)

or, y = 3tan⁻¹ [cotz - cosecz]

or, y = 3tan⁻¹ [cosz/sinx - 1/sinz]

or, y = 3tan⁻¹ [(cosz - 1)/sinz]

or, y = 3tan⁻¹ [-2sin²(z/2)/{2sin(z/2) cos(z/2)}]

or, y = 3tan⁻¹ [-sin(z/2)/cos(z/2)]

or, y = 3tan⁻¹ [-tan{z/2)]

or, y = 3tan⁻¹ [tan{-z/2)]

or, y = -3z/2

or, dy/dz = -3/2 dz/dx

We have

x = cotz

or, z = cot⁻¹z

or, dz/dx = -1/(1 + x²)

Hence we get

dy/dx = 3/[2(1 + x²)]

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Initially the number is given by 48.

Let the tens digit be x.

Given that the unit digit is twice the tens digit.

So the unit digit will be = 2x.

So, the number will be = 10*x + 1*2x = 10x + 2x = 12x

When the digits are reversed then the unit digit become x and tens digit become 2x.

So the reversed number is = 10*2x + 1*x = 20x + x = 21x

According to question if the number is doubled, it will be 12 more than the number reversed. So the best suited equation for this is given by,

2*12x = 21x + 12

24x = 21x + 12

24x - 21x = 12

3x = 12

x = 12/3 = 4

So the number is = 12x = 12*4 = 48.

Hence the initial number is 48.

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The given identity is: cos(x) + 1 / cos²(x) csc(x) cot(x) - 1 / cos(x) + 1 = cos(x) + 1 / cos(x) - 1 * cos(x) / sin(x) - 2 csc(x) cot(x)

To verify the identity algebraically, we will simplify both sides step by step:

Left-hand side (LHS):

cos(x) + 1 / cos²(x) csc(x) cot(x) - 1 / cos(x) + 1

1. Simplify the denominator by using the reciprocal identities:

cos(x) + 1 / cos²(x) * 1/sin(x) * cos(x) - 1 / cos(x) + 1

2. Simplify further by canceling out common factors:

cos(x) + 1 / sin(x) * cos(x) - 1 / cos(x) + 1

3. Combine the fractions:

[cos(x) + 1 - sin(x) * cos(x) + 1] / [sin(x) * cos(x) - cos(x) + 1]

Right-hand side (RHS):

cos(x) + 1 / cos(x) - 1 * cos(x) / sin(x) - 2 csc(x) cot(x)

1. Simplify the denominator using trigonometric identities:

cos(x) + 1 / cos(x) - 1 * cos(x) / sin(x) - 2 / (1/sin(x) * cos(x))

2. Simplify further:

[cos(x) + 1 * cos(x)] / [cos(x) - 1 * (sin(x) - 2 / sin(x) * cos(x))]

3. Combine the fractions:

[cos²(x) + cos(x)] / [cos(x) - sin(x) + 2]

Now, we can observe that the numerators and denominators on both sides are the same.

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Answer:

9. ⅓

12. 1/12

15. 4/25

bye

Step-by-step explanation:

9. ⅔×½=⅓ ( the 2 in the numerator cancel out with the 2 in the denominator).

12. ⅓×¼=¹/(3×4) = ¹/12. (multiply the denominators 3 & 4)

15. ⁴/10×⅖= 4/25. (divide 2 in the numerator with the 10 in the denominator which gives the quoetiont 5) .

hope this helps you.